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221441240 = 23523313769
BaseRepresentation
bin11010011001011…
…10110011011000
3120102200101021102
431030232303120
5423142104430
633550130532
75326135166
oct1514566330
9512611242
10221441240
11103aa8099
12621b0a48
1336b53727
14215a4236
1514692345
hexd32ecd8

221441240 has 64 divisors (see below), whose sum is σ = 522244800. Its totient is φ = 84344832.

The previous prime is 221441237. The next prime is 221441377. The reversal of 221441240 is 42144122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287576 + ... + 288344.

It is an arithmetic number, because the mean of its divisors is an integer number (8160075).

Almost surely, 2221441240 is an apocalyptic number.

221441240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221441240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261122400).

221441240 is an abundant number, since it is smaller than the sum of its proper divisors (300803560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221441240 is a wasteful number, since it uses less digits than its factorization.

221441240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 221441240 is about 14880.9018543904. The cubic root of 221441240 is about 604.9964619696.

Adding to 221441240 its reverse (42144122), we get a palindrome (263585362).

The spelling of 221441240 in words is "two hundred twenty-one million, four hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 313 460 626 769 920 1252 1538 1565 2504 3076 3130 3845 6152 6260 7199 7690 12520 14398 15380 17687 28796 30760 35374 35995 57592 70748 71990 88435 141496 143980 176870 240697 287960 353740 481394 707480 962788 1203485 1925576 2406970 4813940 5536031 9627880 11072062 22144124 27680155 44288248 55360310 110720620 221441240